Find the simplified expansion of \((a+b)^7\). You can use any method you prefer, but the Binomial Theorem may save you some work!
Mock Exams
If you have any questions concerning the mock exam material, you can post them in the comments section below.
Our exams are on Monday Period 4 (paper 1, no calculator) and Tuesday P1 (paper 2).
Good luck!
Sequences and Series Test
We’ll have our test on Sequences and Series on Tuesday, January 17th.
In order to prepare for the test, complete the following questions.
Pages 200–205 questions 1–3, 5, 6, 9, 13, 19, 23, 25, 27, 29, 35
Infinite Geometric Series
For tomorrow’s lesson, try to complete page 173 questions 5, 6, 23, 27, and 28.
Continuous Probability Distributions
Complete the following questions for our lesson tomorrow.
Pages 898–901 questions 1, 2, 7, 11, 19, 20
Series Break Homework
Complete the following questions during the break. Remember, if you get stuck you can leave a comment below. If you see a question in the comments and you have a suggestion to make, post that too!
Pages 172–173 questions 1, 2, 3, 11, 12, and 20
Additionally, see if you can complete all of the question below.
Consider the series shown here.
\[\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\cdots\]
- Find the formula for \(S_n\)
- Write down the value of
- \(S_3\)
- \(S_{10}\)
- \(S_{100}\)
- What do you notice happening to the value of \(S_n\) as \(n\) increases? Can you use the formula for \(S_n\) to explain why this is happening?
The Binomial Distribution
Complete the following questions for the start of our lesson tomorrow.
Pages 879–881 questions 5a–d, 6a–c, 8, 9bc, 13, 14, 15
Roots of Complex Numbers
Below is a GeoGebra applet that will allow to you find the \(n^{\textrm{th}}\) roots of a complex number \(G\), for a value of \(n\) from 1 to 5. (Note that it does take some time to load.)
Probability and Complex Numbers Test
Our next test (on Wednesday, November 30th) will be a mix of questions on the topics of probability and complex numbers.
In preparing for the test, the following questions will be useful.
Pages 562–570 questions 1, 3, 14, 18, 24, 34, 42, 43
Pages 459-460 questions 1, 3, 4, 10, 11, 14, 15, 17, 24
Polynomials Test
We’ve now covered all the material that will appear on our next test, to be held on Monday, November 28th.
The following questions from our textbook will help you prepare for the test.
Page 150 questions 11–21, 28